What is the solution to the equation 1.26(x−7.352)=6.426 when solving for x ?

To solve for x in the equation 1.26(x−7.352)=6.426, we can start by distributing the value of 1.26 to the terms inside the parenthesis:

1.26x - 9.272 = 6.426

Next, we can isolate the variable x by adding 9.272 to both sides of the equation:

1.26x = 6.426 + 9.272

Simplifying this equation gives:

1.26x = 15.698

To solve for x, we divide both sides of the equation by 1.26:

x = 15.698 / 1.26

Thus, the solution to the equation when solving for x is x = 12.451.